Answer
see graph
Work Step by Step
Substituting $y=0$ in the given equation, $
3x-2y=-9
,$ then
\begin{array}{l}\require{cancel}
3x-2(0)=-9
\\\\
3x=-9
\\\\
x=-\dfrac{9}{3}
\\\\
x=-3
.\end{array}
The $x-$intercept is $(
-3
,0)$.
Substituting $x=0$ in the given equation then
\begin{array}{l}\require{cancel}
3(0)-2y=-9
\\\\
-2y=-9
\\\\
y=\dfrac{-9}{-2}
\\\\
y=\dfrac{9}{2}
.\end{array}
The $y-$intercept is $\left(0,
\dfrac{9}{2}
\right)$.
Using the intercepts, the graph is shown above.